Finite Volume Simulation of Newtonian Fluids Through Combined Converging and Diverging Channel

Abstract

A robust semi-implicit pressure-based Computational Fluid Dynamics (CFD) scheme (SIMPLE) scheme is adopted for modeling of steady and viscous compressible flows through converging and diverging channel. Second-order spatial accuracy will achieved through linear unstructured finite volume cell discretization. The SIMPLE scheme characterizes a development in massmomentum coupled, pressure based schemes. The governing equations for this scheme are the conservative form of momentum equations (Navier-Stokes) and mass conservation equation. The grid will be developed and refined through Gambit package. Flow structure will be developed with effect of fluid inertia, primary, secondary and treasury vortex may be developed in the aspect ratio 1: 4, 1: 6 and 1: 8 of the converging and diverging channels. The small vortex observed in the ratio 1: 4 in each corner of the channel and with increasing the fluid inertia the left upper vortex in size is enhanced only due to increase the Reynolds numbers. When increased the ratio 1: 6 and 1: 8 the vortex in size is enhanced at lower and upper corner of the channel and occupied the whole domain. Due to filling the Porous material all vortices left, right, upper and lower are diminished and no recirculation flow rate observed at each Reynolds numbers and on every Darcy numbers. The numerical results achieved through finite volume technique through commercial CFD package ANSYS Fluent and will be compared with analytical approach of sheikh, et al. [2012] and also other numerical results with and without use of CFD packages